Answer:
1. State the claim H0 and the alternative, Ha
2. Choose a significance level or use the given one.
3. Draw the sampling distribution based on the assumption that H0 is true, and shade the area
of interest.
4. Check conditions. Calculate the test statistic.
5. Find the p-value.
6. If the p-value is less than the significance level, α, reject the null hypothesis. (There is enough
evidence to reject the claim.)
If the p-value is greater than the significance level, α, do not reject the null hypothesis.
(There is not enough evidence to reject the claim.)
(You can use the p-value to make a statement about the strength of the evidence against H0
without using α, e.g., p>.10 implies “little or no evidence against H0”, .05< p ≤ 10 implies
“some evidence against H0”, .01 < p ≤ .05 implies “good evidence against H0”, .001 < p ≤ .01
implies “strong evidence against H0”, p ≤ .001 implies “very strong evidence against H0”.)
7. Write a statement to interpret the decision in the context of the original claim.
Test statistics: (Step 3)
Hypothesis testing for a mean (σ is known, and the variable is normally distributed in the
population or n > 30 ) z
x
n
=
− µ
σ
0
(TI-83: STAT TESTS 1:Z-Test)
Hypothesis testing for a mean (σ is unknown, and the variable is normally distributed in the
population or n > 30 ) t
x
s
n
=
− µ0
(TI-83: STAT TESTS 2:T-Test)
Hypothesis testing for a proportion (when np and n p 0 0 ≥ 10 1 10 ( ) − ≥
(TI-83: STAT TESTS 5:1-PropZTest)
Step-by-step explanation:
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